Numerical Methods in the Python Ecosystem, Janko Slavič, 2025/26

The content presented here is the basis for the Numerical Methods course taught at the Faculty of Mechanical Engineering (University of Ljubljana):

• Numerical Methods, 2nd year RR

The lecture templates are located in the notebooks folder, or you can view them in the online book (links are listed below).

This is the American-English translation of the Slovenian book pynm.

Please read the Study and Examination Rules; it contains key information about taking the course.

Lecture schedule

1. Oct 6: Introduction to Python, part 1

2. Oct 13: Introduction to Python, part 2

3. Oct 20: Printing, file handling, functions, modules

4. Nov 3: Modules, NumPy, Matplotlib

5. Nov 10: Object-oriented programming, symbolic computation

6. Nov 17: Introduction to numerical methods and systems of linear equations 1

7. Nov 24: Systems of linear equations 2

8. Dec 1: Interpolation

9. Dec 8: Approximation

10. Dec 15: Root finding

11. Dec 22: Numerical differentiation

12. Jan 5: Numerical integration

13. Jan 12: Numerical solution of differential equations - initial value problem and boundary value problem

14. Testing code correctness, user interface

15. Introduction to Mathematica*

* Optional lecture. Students of the Faculty of Mechanical Engineering UNI-LJ can obtain a licensed version of Mathematica at this link.

License

This work is free for non-commercial use, provided that you cite the source, the author, and the Faculty of Mechanical Engineering, University of Ljubljana.